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April  2010, 4(2): 257-270. doi: 10.3934/jmd.2010.4.257

Generating product systems

Nir Avni 1, and  Benjamin Weiss 2,

1. 

Department of Mathematics, Harvard University, Cambridge MA 02138, United States
2. 

Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The Hebrew University of Jerusalem, Jerusalem, 91904

Received  July 2009 Revised  March 2010 Published  August 2010

Generalizing Krieger's finite generation theorem, we give conditions for an ergodic system to be generated by a pair of partitions, each required to be measurable with respect to a given subalgebra, and also required to have a fixed size.
Keywords: Slepian-Wolf, Krieger's theorem., generating partition.
Mathematics Subject Classification: Primary: 28D20, 68P30; Secondary: 60G10, 37A3.
Citation: Nir Avni, Benjamin Weiss. Generating product systems. Journal of Modern Dynamics, 2010, 4 (2) : 257-270. doi: 10.3934/jmd.2010.4.257
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